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Grace is really craving for a bubble tea from Coco on a warm day, but she...

Grace is really craving for a bubble tea from Coco on a warm day, but she forgot her wallet and all she has is a standard deck of cards in her pocket. She sees Yunsoo walking by and decides to grasp this opportunity. She tells him that ​she expects that she can draw all 52 cards in order in 1300 draws. Yunsoo expects 1600 draws. Explain why Yunsoo is further away from the real expected value. The order of cards go from Ace to King and Clubs, Diamonds, Hearts, Spades. If the next card in order is not drawn, then it is placed back into the deck at random. The cards don’t have to be selected consecutively. For example, ​Ace of Clubs​, 3 of Diamonds, Jack of Spades, ​2 of Clubs​ is a valid start and there would only be 50 cards left in the deck.

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